Solve the system.

Question

x+2y+3z=4

-3x+2y-z=12

-2x-2y-4z=-14

Answer 1

x + 2y + 3z = 4

-3x +2y- z =12

-2x-2y-4z = -14

add the last two to eliminate y

-5x -5z = 26

subtract the 2nd from the 1st to also eliminate y

4x +4z = - 8

divide by 4

x+z = -2

multiply by 5

5x +5z = -10

-5x-5z = 26

0 = 16

the system is contradictory, inconsistent

. there is no solution

no values of x, y and z will satisfy all 3 equations